Area between two Curves

Date: 12/24/95 at 15:48:41
From: Anonymous
Subject: Calculus: Area under function
Find the area between the curve x = 1-y^2 and the y-axis?

Date: 6/14/96 at 1:38:29
From: Doctor Ethan
Subject: Re: Calculus: Area under function
This is a neat problem.
It is a little tricky because usually you integrate the other way.
First you have to know what it looks like.
It is a parabola with a vertex at (1,0) that faces left
and it goes through (0,1) and (0,-1)
So when you think of the integration you want to think about
sliding up the y axis and finding the x value at each point, just the
way you normally slide along the y axis and find the y value at
each point.
So it will be the integral from -1 to 1 of [1-y^2]dy.
Hope that helps you out.
-Doctor Ethan, The Math Forum